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323985168 = 243213213313
BaseRepresentation
bin10011010011111…
…001111100010000
3211120122011002200
4103103321330100
51130420011133
652052043200
711012554113
oct2323717420
9746564080
10323985168
11156976941
1290603500
1352178100
143105857a
151d69a913
hex134f9f10

323985168 has 90 divisors (see below), whose sum is σ = 981894186. Its totient is φ = 99680256.

The previous prime is 323985149. The next prime is 323985173. The reversal of 323985168 is 861589323.

It is a happy number.

323985168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1710864 + 322274304 = 1308^2 + 17952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17680 + ... + 30992.

Almost surely, 2323985168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323985168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490947093).

323985168 is an abundant number, since it is smaller than the sum of its proper divisors (657909018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323985168 is a wasteful number, since it uses less digits than its factorization.

323985168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13331 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 323985168 is about 17999.5879952848. The cubic root of 323985168 is about 686.8180648772.

The spelling of 323985168 in words is "three hundred twenty-three million, nine hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 13313 24336 26626 39939 53252 79878 106504 119817 159756 173069 213008 239634 319512 346138 479268 519207 639024 692276 958536 1038414 1384552 1557621 1917072 2076828 2249897 2769104 3115242 4153656 4499794 6230484 6749691 8307312 8999588 12460968 13499382 17999176 20249073 24921936 26998764 35998352 40498146 53997528 80996292 107995056 161992584 323985168